Question

В трёх кружках занимаются 103 человека. Во втором участников на 7 больше, чем в первом, но в 3 раза меньше, чем в третьем. Сколько участников было в каждом из кружков?

Answer 1

Х уч. - в первом кружке
х+7 уч. - во втором
(х+7)*3  уч. - в третьем кружке
Всего 103 участника.

х+х+7+(х+7)*3=103
2х+7+3х+21=103
5х=103-28
5х=75
х=75:5
х=15(уч.) - в первом кружке
15+7=22(уч) - во втором
22*3=66(уч.) - в третьем

Answer 2

Calculating the Number of Participants in Each Group

To solve this problem, we can use a system of equations to represent the given information and then solve for the number of participants in each group.

Let's denote: - the number of participants in the first group as x - the number of participants in the second group as x + 7 - the number of participants in the third group as 3(x + 7)

We know that the total number of participants across all three groups is 103. Therefore, we can write the equation: x + (x + 7) + 3(x + 7) = 103

Solving this equation will give us the number of participants in each group.

Solving the Equation

Let's solve the equation step by step:

x + (x + 7) + 3(x + 7) = 103

x + x + 7 + 3x + 21 = 103

5x + 28 = 103

5x = 75

x = 15

So, the number of participants in the first group is 15.

The number of participants in the second group is 15 + 7 = 22.

The number of participants in the third group is 3(15 + 7) = 66.

Therefore, there were 15 participants in the first group, 22 participants in the second group, and 66 participants in the third group.

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